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Equivalence of Fourth Order Boundary Value Problems and Matrix Eigenvalue Problems

✍ Scribed by Ao, Ji-jun; Sun, Jiong; Zettl, Anton


Book ID
120516997
Publisher
Springer
Year
2011
Tongue
English
Weight
248 KB
Volume
63
Category
Article
ISSN
1422-6383

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Eigenvalue of fourth-order -point bounda
✍ Xinguang Zhang; Lishan Liu πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 276 KB

This paper deals with the existence of positive solutions for the fourth-order nonlinear ordinary differential equation subject to the boundary conditions: where Ξ±, Ξ², Ξ³ , Ξ΄ β‰₯ 0 are constants such that ρ = Ξ±Ξ΄ + Ξ±Ξ³ + Ξ²Ξ΄ > 0, and ΞΎ i ∈ (0, 1), By means of a fixed-point theorem due to Krasnaselskii,